Ch 10.3 Practice Worksheet
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Feb 20, 2024
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Ch 10.3 Practice Worksheet McDonald’s claims that the time it takes customers to get their food is faster than Carl’s Jr. A random sample of 100 orders from each chain is taken and yields the following mean service times:
McDonald’s: 208 seconds
Carl’s Jr.: 268 seconds
What is the null and alternative hypotheses? H0: µM = µC
H1: µM ≠
µC
For an α =.05, our critical value is 1.66. Suppose our test statistic reveals a t-value of 1.99 and a p-value of .049. What should McDonald’s conclude?
There is sufficient evidence to conclude that the mean times are not the same
Suppose that difference between the service times reveals a 95% confidence interval of [36, 84]. What should McDonalds’s conclude?
That there is sufficient evidence to conclude the mean times are not the same
______________________________________________________________________________
HelloFresh and Blue Apron, both meal-kit providers, mail pre-measured ingredients and recipes to its customers so families can enjoy a home-cooked meal without the hassle of planning. The FDA wants to know if the average amount of time between when the meal leaves the packing facility and the time of the delivery of the box to the customer’s doorstep is different between HelloFresh and Blue Apron.
Why is this information important for FDA (and customers) to know? To ensure that the quality of materials are okay, and that the food stays within safe temperatures
How would you collect this data?
You could collect this data using the tracking numbers from postal services, there would be a time recorded for leaving the warehouse and a time recorded for dropping the package off at its location
What type of statistical test should you use to analyze the data?
a.
One sample hypothesis testing
b.
Two sample hypothesis testing c.
One way ANOVA
d.
Simple linear regression
e.
Other
What are your null and alternative hypotheses?
H0: µH = µB
H1: µH ≠
µB
What coefficients should you use to interpret your results? T statistic and p-value compared to your critical value and alpha level
Use confidence level for the difference
If we reject the null, what should the FDA recommend to HelloFresh and Blue Apron?
It should recommend that they align their delivery times
If we do not reject the null, what should the FDA recommend to HelloFresh and Blue Apron? nothing
What are the strengths of this study?
It compares two companies’ delivery times
What are the weaknesses of this study?
It doesn’t tell us what the companies delivery times are
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